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4442386941 = 321924133349
BaseRepresentation
bin1000010001100100…
…10111000111111101
3102110121010122020200
410020302113013331
533044222340231
62012451434113
7215041444266
oct41062270775
912417118220
104442386941
11197a680073
12a3b8b5939
1355a484135
14301dcd96d
151b000cbe6
hex108c971fd

4442386941 has 36 divisors (see below), whose sum is σ = 6937667100. Its totient is φ = 2737203840.

The previous prime is 4442386919. The next prime is 4442386973. The reversal of 4442386941 is 1496832444.

It can be written as a sum of positive squares in 2 ways, for example, as 2347402500 + 2094984441 = 48450^2 + 45771^2 .

It is not a de Polignac number, because 4442386941 - 27 = 4442386813 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4442386541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 116535 + ... + 149883.

It is an arithmetic number, because the mean of its divisors is an integer number (192712975).

Almost surely, 24442386941 is an apocalyptic number.

4442386941 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

4442386941 is a deficient number, since it is larger than the sum of its proper divisors (2495280159).

4442386941 is a wasteful number, since it uses less digits than its factorization.

4442386941 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33434 (or 33412 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 4442386941 is about 66651.2336044878. The cubic root of 4442386941 is about 1643.8876317340.

The spelling of 4442386941 in words is "four billion, four hundred forty-two million, three hundred eighty-six thousand, nine hundred forty-one".

Divisors: 1 3 9 19 41 57 123 171 361 369 779 1083 2337 3249 7011 14801 33349 44403 100047 133209 300141 633631 1367309 1900893 4101927 5702679 12038989 12305781 25978871 36116967 77936613 108350901 233809839 493598549 1480795647 4442386941